Simplify i*2i

$i \cdot 2 i$

Step 1

Multiply $i (2 i)$ .

Raise $i$ to the power of $1$ .

$2 (i^{1} i)$

Raise $i$ to the power of $1$ .

$2 (i^{1} i^{1})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 i^{1 + 1}$

Add $1$ and $1$ .

$2 i^{2}$

Step 2

Rewrite $i^{2}$ as $- 1$ .

$2 \cdot - 1$

Step 3

Multiply $2$ by $- 1$ .

$- 2$